HELP THIS IS DUE TODAY I WILL NAME YOU THE BRAILIEST!!!!!!!
Determine the equation of the circle graphed below.
Answers
Answer:
[tex](x-4)^2+(y+3)^2=20[/tex]
Step-by-step explanation:
The equation of a circle with center [tex](h,k)[/tex] and radius [tex]r[/tex] is given by [tex](x-h)^2+(y-k)^2=r^2[/tex].
What we know:
Center at [tex](4,-3)[/tex]To find the radius, we can use the distance formula. For points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the distance between them is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].
Let
[tex](x_1,y_1)\implies (-4, -3),\\(x_2,y_2)\implies (8,-1)[/tex]
[tex]r=\sqrt{(8-4)^2+(-1-(-3))^2},\\r=\sqrt{4^2+2^2},\\r=\sqrt{20}=2\sqrt{5}[/tex]
Thus, the equation of this circle is
[tex](x-4)^2+(y-(-3))^2=\sqrt{20}^2,\\\boxed{(x-4)^2+(y+3)^2=20}[/tex]
Related Questions
Solve for all values of x by factoring x² + 6x = 0
Answers
Answer:
Solution given;
x² + 6x = 0
taking x common
x(x+6)=0
either
x=0
or
x+6=0
x=-6
:.x=0 or -6.
Answer:
0 and -6
Step-by-step explanation:
Factor and find the zeros of the equation or graph the line to find the x-intercepts.
58:36
If Zöe orders a book from Store Y, how much tax will she pay?
Comparison of Online Bookstores
Store X
Store Y
Cost of book
$17.00
$18.00
Tax rate
6%
8%
Shipping
10% of cost before tax
FREE
$1.44
$2.25
O $12.25
O $14.40
Answers
Answer:
$1.44
Step-by-step explanation:
Tax is a compulsory sum levied by the government. it increases the price of the good
tax paid = tax rate x price of the book
18 x 8%
18 x 0.08 = $1.44
2w - 5 = 8
W =
Plllssssss helppoo
Answers
Answer:
w = 13/2 or 6.5
Step-by-step explanation:
2w - 5 = 8
Add 5 to each side
2w - 5+5 = 8+5
2w = 13
Divide by 2
2w/2 = 13/2
w = 13/2 or 6.5
Answer:
13/2
Step-by-step explanation:
the steps are in the screenshot attached.
A quadratic polynomial whose zeroes are -6 and -7 is
Answers
Answer:
x² + 13x + 42 = 0
Step-by-step explanation:
(x + 6)(x + 7) = x² + 7x + 6x + 42 = x² + 13x + 42
What are the real roots of the function in the graph?
Answers
Answer:
-1 and 3
Step-by-step explanation:
The real roots of a function are located where the function passes through the x-axis. In this case, the function passes through x=-1 and x=3, making them the real roots of the function.
square in inches, x, and the perimeter of the square in inches, y. What is the constant of proportionality?
Answers
Answer:
y/x
Explanation:
The constant of proportionality defines two directly proportional quantities that decrease or increase proportionally/same rate.
Given constant of proportionality= k
Side of the square= x
Perimeter of the square= y
constant of proportionality=k=y/x
For example if perimeter of square is 8 and side of square is 2, constant of proportionality is 8/2=4
which value from the set{2,14,16,63}makes the equation n-7=9 true
Answers
Answer:
16.
Step-by-step explanation:
n - 7 = 9
Add 7 to both sides
n = 9 + 7 = 16.
Answer:
16
Step-by-step explanation:
Given
n - 7 = 9 ( add 7 to both sides )
n = 16
If we have a ratio of 5:1 boys to girls in the class and there are only 5 girls in the class, How many boys are there in the class?
Answers
Answer:
25
Step-by-step explanation:
5x5=25
Hope this helps! :)
Answer:
25 boys
Explanation:
Because if there are 5 girls in the class then that means that you have to multiply the ratio of 5:1 by 5, which equals 25:5, meaning there’s 25 boys in the class.
Each day, Deanne starts working at 10:00 a.m. and Stephanie starts working at noon. At which time each day are the earnings for Deanne equal to the earnings for Stephanie?
Answers
Answer:
Time when both earnings are equal = 5:00 Pm
Step-by-step explanation:
Given:
Total earning of Deanne = 6.50x
Total earning of Stephanie = 9.10(x -2)
Work started at 10:00 am
Find:
Time when both earnings are equal
Computation:
Total earning of Deanne = Total earning of Stephanie
6.50x = 9.10(x - 2)
6.5x = 9.1(x-2)
6.5x = 9.1x - 18.2
9.1x - 6.5x = 18.2
2.6x = 18.2
x = 18.2 / 2.6
x = 7 hour
So,
Time when both earnings are equal = Work started at 10:00 am + 7 hour
Time when both earnings are equal = 5:00 Pm
Can someone help me with this, Thx!
Answers
Answer:
x = 45
Step-by-step explanation:
x = 20 + 25
as x is vertically opposite to GED
and vertically opposite angles are equal
Help me with area, please.
Answers
Answer:
Num. 2: A = 25, Num. 3 = 63, Num. 4 = 80
Step-by-step explanation:
I'll help with as many as I can, so a few of them I won't be able too answer. You should re-post those later. Good luck, hope this helps.
For number 2:
First, turn the triangle into a rectangle by cutting it in half and attaching it to the other half so it forms a rectangle.
Since you cut the triangle in half, you also have to split 5 in half, so the bottom length is now 2.5.
Now, simply multiply 2.5 by 10, and you have the area for number 2.
The area for number 2 is 25.
For number 3:
This one is much easier. Just think of the shape as a normal square that has been tipped to the side. That means that you would solve for area the same way: 9 x 7, which means that the area for number 3 is 63.
For number 4:
This one is also easy. Simply cut, and paste. Now the right side is 10, and the top side is 8. Multiply, and the area will be 80 m.
Please re-post 1 and 5, as I am not able to solve them. Sorry this answer took so long!
Tell whether the triangle with the given side lengths is a right triangle.
28, 45,54
The answer is yes or no
Answers
Answer:
No
Step-by-step explanation:
help me plzzzzzzzzzzz
Answers
Answer:
Top row, third one from left to right
Step-by-step explanation:
Use test points:
when x = 0 , y = 2(0) - 4 = 0 - 4 = -4
(0, -4)
when y = 0, 0 = 2x - 4, 4 = 2x, 2 = x
(2, 0)
Top row, third one from left to right
Find the measure of LABC. (Hint: Solve for x first.)
Answers
6x+6=180
6x=174
x=29
4(29)+6=122
plzz help it's due today
Answers
Answer:
B
Step-by-step explanation:
Say the point below point B is point C.
AB belongs to triangle ABC.
To find hypotunuse AB, we need BC and AC so that we can use pythagorean thereom.
BC is already given --> 1.
AC is a diagonal of the rectangular prisms's base.
We already have 2 sides for the triangle that the base diagonal belong's to.
AC^2 = 4^2 + 6^2
AC^2 = 16 + 36 = 52
AC = √52
Now we have AC ad BC. We can find AB using pythagorean thereom.
AC^2 + BC^2 = AB^2
(√52)^2 + (1)^2 = AB^2
52 + 1 = AB^2
AB^2 = 53
AB = √53
option B
This equation shows how the total number of pieces Lamar has learned depends on the number of weeks he has taken piano lessons. P = w The variable w represents the number of weeks he has taken piano lessons, and the variable p represents the total number of pieces he has learned. In all, how many weeks of piano lessons will Lamar need before he will be able to play a total of 19 pieces?
Answers
Answer:
19 weeks
Step-by-step explanation:
Given equation:
P = w
Where,
w = the number of weeks he has taken piano lessons
p = the total number of pieces he has learned
how many weeks of piano lessons will Lamar need before he will be able to play a total of 19 pieces?
Find w when p = 19
P = w
p = 19
Since P = w
19 = w
Therefore,
w = 19
Lamar need 19 weeks before he will be able to play a total of 19 pieces
if def geh solve for x
Answers
Answer:
huh???
Step-by-step explanation:
Find the measurements of angle WXZ, XZW, and XWZ
Answers
Answer:
WXZ = 123
XZW = 28.5
XWZ = 28.5
Step-by-step explanation:
find the vertex and the x-inter of the function given below. y = x^2 + 2x + 6
Answers
Answer: Vertex = (-1, 5) x-intercepts = No real solutions
Step-by-step explanation:
Vertex = -2/2= -1
-1^2 + 2(-1) +6
1 -2 +6
-1 +6
=5
Discrminats= 2^2 -4(1)(6)
4 -4(1)(6)
4-24
= -20 (It's a negative so there's no real solutions, meaning there's no xintercepts/R0XS)
If f(x) = 2x - 6 and dx) = 3x + 9, find (f - g(x).
O A. (f- g)(x) = -x- 15
O B. (f- g)(x) = x + 15
O C. (f- g)(x) = -x+ 3
O D. (f - g)(x) = 5x + 3
Answers
Answer:
A
Step-by-step explanation:
Given that f(x) is 2x-6, and g(x) is 3x+9, all we have to do is subtract in order to find (f(x)-g(x)):
[tex](f(x)-g(x))=\\\2x-6-(3x+9)=\\2x-6-3x-9=\\-x-15[/tex]
[tex]\fbox{A}[/tex]
I hope this helps! Let me know if you have any questions :)
A shopkeeper allows 20 % discount on the marked price of an article and 10 % VAT is leavied on it . If a customer pays Rs 5000 for VAT them find the discount amount.
Answers
Answer:
Rs 12,500
Step-by-step explanation:
the price before VAT = 100/10 × Rs 5000 =
Rs 50,000
the price before discount = 50,000 / 80%
= 50,000/0.8 = 62,500
so the discount amount = 62,500-50,000
= Rs 12,500
Marian asked 25 students the following questions in a survey.
1. Are you male or female?
2. Do you wear glasses?
Marian's results are shown below.
There were a total of 15 female students who were surveyed.
• There were 17 students who wear glasses.
Answers
Answer:
Step-by-step explanation:
Pls help i'm struggling with this help pls!
Answers
Answer:
[tex]5\sqrt{10}[/tex] when simplified and added this is what i got and when redone too over check i got it again hopefully this helps.
1. A quadratic equation can have all of the following number of solutions except
d,
b.
Zero
One
Infinite
Two
c.
a
Answers
A pile of newspapers in Ms.
Clark's room was 7inches
high. If the pile increased in
height by 4 inches each
week. What is the height of
the pile after 4 weeks?
Answers
Answer:
4*4=16+7=23
Step-by-step explanation:
4 inches x 4 weeks is 16 inches
7 + 16 = 23
a + x = -3 với a = 5 . Tìm x
Answers
Answer:
the answer is if a=5
than, 5+x=-3
or,x=-3-5
therefore x=-8
Answer:
[tex]x = - 8[/tex]
Step-by-step explanation:
[tex]a + x = - 3[/tex]
[tex]5 + x = - 3[/tex]
[tex] x = - 3 - 5[/tex]
[tex]x = - 8[/tex]
Hope it is helpful...What is the approximate area is the shaded sector in the circle shown below?
Answers
Answer:
B.
Step-by-step explanation:
1) the area of the given circle is: A=π*r²=256π (in²).
2) the part of the shaded sector is 110/360=11/36, it means that the required area of the shaded sector is: 11/36 * A = 256* π * 11 / 36≈246 (in²).
Let p: A number is greater than 25.
Let q: A.number is less than 35.
If p ^ q is true, then what could the number be? Select two options.
Answers
Answer:
Here we do not have the options, so I will answer in a general way.
We have two statements:
p = A number is greater than 25
q = A number is less than 35
We want to have:
p ^ q is true
This means:
p and q are true.
So, we need to find a number such that both conditions are meet, so we need to find a number N such that
The number N is greater than 25 (from p)
The number N is less than 35 (from q)
So N can be any number between 25 and 35
So, some of the possible values of N are:
N = 26
N = 27
N = 28.6
N = 33
N = 34
Concluding, any number N ∈ (25, 35) can be a solution.
(Note that N = 25 and N = 35 are not solutions)
Can someone please help me
Answers
Answer:
Her monthly rate per month is $12
Step-by-step explanation:
On the 0 month is what she already had in her bank account.
Also the months are going by 2's so it's going by $24 dollars every 2 months, so 24 divided by 2 is 12.
Charlie's garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m, providing a floor area of 45 m2. what is the percentage
Answers
Answer:
The percentage change is 140%
Step-by-step explanation:
Given
[tex]L= 3W_1[/tex] ---- initial dimension
[tex]W_2 = 6m[/tex] --- new width
[tex]A_2 = 45m^2[/tex] --- new dimension
Required
The percentage increment
The length remains constant because only the width is extended.
The new area is:
[tex]Area =Length * Width[/tex]
[tex]A_2=L * W_2[/tex]
Make L the subject
[tex]L = \frac{A_2}{ W_2}[/tex]
Substitute values for A and W
[tex]L = \frac{45m^2}{6m}[/tex]
[tex]L = \frac{45m}{6}[/tex]
[tex]L = 7.5m[/tex] --- this is the length of the garden
Calculate the initial width:
[tex]L= 3W_1[/tex]
Make W1 the subject
[tex]W_1 = \frac{1}{3} * L[/tex]
[tex]W_1 = \frac{1}{3} * 7.5[/tex]
[tex]W_1 = 2.5[/tex]
So, the initial area is:
[tex]A_1 = L_1 * W_1[/tex]
[tex]A_1 = 2.5 * 7.5[/tex]
[tex]A_1 = 18.75[/tex]
The percentage change in area is:
[tex]\%A = \frac{A_2 - A_1}{A_1}[/tex]
[tex]\%A = \frac{45 - 18.75}{18.75}[/tex]
[tex]\%A = \frac{26.25}{18.75}[/tex]
[tex]\%A = 1.4[/tex]
Express as percentage
[tex]\%A = 1.4*100\%[/tex]
[tex]\%A = 140\%[/tex]
